Biplot analysis of non parametric measures of stability for long term evaluation of fababean genotypes

Abstract

Non parametric measures of stability were compared based on ranks of faba bean genotypes evaluated for the period of long term in the country. High yielding genotypes were HB13-48, HB13-10 and HB13-46 also selected by the Geometric Adaptability Index (GAI) along with larger values of Harmonic means (Har). Measure S_i¹ selected HB13-11, Vikrant and HB13-48 as opposed to HB13-15, HB13-6 and HB13-9 by S_i² values. Vikrant, HB13-9 and HB13-6 genotypes considered by S_i³ and S_i⁴ measure selected HB13-15, Vikrant and  HB13-9 faba bean genotypes. The next two S_i⁵andS_i⁶ pointed towards HB13-15, Vikrant and HB13-49 genotypes, while S_i⁷pointed for HB13-15, Vikrant and HB13-9 genotypes.  Measure based on ranks as per corrected yield of genotypes CS_i¹ selected HB13-15, HB13-9 and HB13-38, while CS_i²  found HB13-15, HB13-9 and HB13-6 as suitable candidates, while values of  CS_i³  settled for HB13-15 HB13-9 and HB13-6 genotypes. Measure CS_i⁴ identified HB13-15, HB13-9, HB13-6  and CS_i⁵ pointed towardsHB13-15, HB13-38 and HB13-43, while CS_i⁶ observed suitability of HB13-15,  HB13-9 and HB13-26 and lastly CS_i⁷ values identified HB13-15, HB13-9  and HB13-38 genotypes. Composite measures consider the ranks of genotypes as per yield and corrected yield simultaneously, values of NP_i⁽¹⁾ measure the observed suitability of HB13-11, HB13-38 and HB13-43.Whereas, as per NP_i⁽²⁾ valuesHB13-15, HB13-9 and  HB13-18  would be genotypes of choice, while NP_i⁽³⁾  identifiedHB13-15, HB13-9 and HB13-6. NP_i ⁽⁴⁾ found HB13-9, HB13-6 and Vikrant  as suitable genotypes, while values of Z₁ favoured HB13-16, HB13-2 and Vikrant  and Z₂ settled for HB13-2, Vikrant, HB13-18. Biplot graphical analysis observed NP_i⁽¹⁾ had maintained a close relationship with CS_i³, CS_i⁶, CCVR, CSDR, CS_i⁵, CS_i². SDR showed a strong association with S_i⁵, S_i², S_i¹, NP⁽²⁾, NP_i⁽³⁾ , NP_i ⁽⁴⁾ , CVR, S_i³, S_i⁶  and AvgR measures. Spearman rank correlation showed a highly significant positive correlation with GAI, Har, S_i³, S_i⁶, Coefficient of variation based on ranks (CVR), Median value based on ranks of genotypes (MedR), Average of ranks (AvgR) measures and significant positive correlation with NP_i⁽²⁾, NP_i⁽³⁾ and NP_i,⁽⁴⁾ while very weak relationships expressed with Geometric Adaptability Index based on corrected yield values (CGAI), Harmonic mean as per corrected yield values (Char), CSdr, Z₁, Z₂, CS_i¹,CS_i²,CS_i³,CS_i⁴,CS_i⁵,CS_i⁶,CS_i⁷, NP_i⁽¹⁾,CSdr measures. Highly significant positive correlation expressed by GAI with Har, MedR AvgR and CAvgR only and weak with S_i³, S_i⁶, more over weak negative correlations with remaining measures. Nonparametric measures would be quite useful to the breeders to put forward stable high yielder genotypes in changing climatic fluctuations.

 Keywords: Faba bean, Rank based measures, S_i^(s), CS_i^(s), NP_i^(s),   Biplot analysis